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Finding the Fourth Proportional to 2,582.34, 3,563.64 and 1,534.38

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Solution

The fourth proportional to 2,582.34, 3,563.64 and 1,534.38 is: 2,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.34 : 3,563.64 = 1,534.38 : x
  2. Step 2: Convert to fraction form
    2,582.34/3,563.64 = 1,534.38/x
  3. Step 3: Cross multiply
    2,582.34x = 3,563.64 × 1,534.38
  4. Step 4: Simplify right side
    2,582.34x = 5,467,977.94
  5. Step 5: Solve for x
    x = 5,467,977.94/2,582.34
  6. Step 6: Final answer
    x = 2,117.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.